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Simplifying 0.2(3r + 4) = 0.6(r + -1) + 0.2 Reorder the terms: 0.2(4 + 3r) = 0.6(r + -1) + 0.2 (4 * 0.2 + 3r * 0.2) = 0.6(r + -1) + 0.2 (0.8 + 0.6r) = 0.6(r + -1) + 0.2 Reorder the terms: 0.8 + 0.6r = 0.6(-1 + r) + 0.2 0.8 + 0.6r = (-1 * 0.6 + r * 0.6) + 0.2 0.8 + 0.6r = (-0.6 + 0.6r) + 0.2 Reorder the terms: 0.8 + 0.6r = -0.6 + 0.2 + 0.6r Combine like terms: -0.6 + 0.2 = -0.4 0.8 + 0.6r = -0.4 + 0.6r Add '-0.6r' to each side of the equation. 0.8 + 0.6r + -0.6r = -0.4 + 0.6r + -0.6r Combine like terms: 0.6r + -0.6r = 0.0 0.8 + 0.0 = -0.4 + 0.6r + -0.6r 0.8 = -0.4 + 0.6r + -0.6r Combine like terms: 0.6r + -0.6r = 0.0 0.8 = -0.4 + 0.0 0.8 = -0.4 Solving 0.8 = -0.4 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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